Demon Hunter

After getting this mission from the Sanctuary job board, head to the round, arena-like area toward the center of the Lynchwood map.

Hit the button to make the freight elevator go down to access The Old Mine.

Meet Dukino's Mom, an oversized Skag. The Giant Skag is two levels higher than you when you are at level 28 and 29.

Get your heavy weapons out -- blast away with grenade launchers and snipers from a distance to protect yourself from Dukino's Mom's electric and beam attacks.

When the battle starts, duck to the left of the elevator button, look up at it and push your control stick toward it, you should catch on the wall. From this position you can shoot through the open slats for critical damage and most of Dukino's Mom's attacks are blocked by the wall.

When the monster is down, turn in the mission to Dukino.

Note: There is a chance that Dukino's Mom drops a Legendary Weapon -- namely a Rocket Launcher called Mongol. If you didn't get it, come back later and try again (Dukino's Mom will respawn after you save and quit).